#987 Turning an age that can be divided by a fairly large number
So, birthdays were usually fun when you were a kid, really fun. You’d get clowns, ponies, pools, hookers, presents… what a blast. But as you get older some of things start to fade away (some, of course stay), and birthdays start to become more of a chore then a pleasure. And the real kick in the balls is when there are somewhat large numbers that evenly divide your new age. By large number I mean a number that at that age you can distinctly remember, and you weren’t a tiny kid. So dividing a number is one of the most (if not the most) basic concepts. It says the following:
For integers J and I, J divides I iff there exists an integer K , where K is neither 1 nor I and JK = I.
A simple example, 2 divides 6 because 2×3 = 6. But, keeping with the elementary number theory theme, it’s no better, necessarily to have a prime age — especially a Mersenne Prime age, which is an integer of the form 2n-1 for some n>0. I’d say after n=4, birthday’s start to resemble bowl movements.
What do you think?